Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 50152, 50154 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 50152 and 50154 is 2.
GCF(50152,50154) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 50152
2 | 50152 |
2 | 25076 |
2 | 12538 |
6269 | 6269 |
1 |
Prime factors of 50152 are 2,6269. Prime factorization of 50152 in exponential form is:
50152 = 23×62691
Prime Factorization of 50154
2 | 50154 |
3 | 25077 |
13 | 8359 |
643 | 643 |
1 |
Prime factors of 50154 are 2,3,13,643. Prime factorization of 50154 in exponential form is:
50154 = 21×31×131×6431
∴ So by taking common prime factors GCF of 50152 and 50154 is 2
Factors of 50152
List of positive integer factors of 50152 that divides 50152 without a remainder.
1,2,4,8,6269,12538,25076,50152
Factors of 50154
List of positive integer factors of 50154 that divides 50154 without a remainder.
1,2,3,6,13,26,39,78,643,1286,1929,3858,8359,16718,25077,50154
Greatest Common Factor
We found the factors and prime factorization of 50152 and 50154. The biggest common factor number is the GCF number.
So the greatest common factor 50152 and 50154 is 2.
Also check out the Least Common Multiple of 50152 and 50154
(i) The GCF of 50152 and 50154 is associative
GCF of 50152 and 50154 = GCF of 50154 and 50152
1. What is the GCF of 50152 and 50154?
Answer: GCF of 50152 and 50154 is 2.
2. What are the Factors of 50152?
Answer: Factors of 50152 are 1, 2, 4, 8, 6269, 12538, 25076, 50152. There are 8 integers that are factors of 50152. The greatest factor of 50152 is 50152.
3. What are the Factors of 50154?
Answer: Factors of 50154 are 1, 2, 3, 6, 13, 26, 39, 78, 643, 1286, 1929, 3858, 8359, 16718, 25077, 50154. There are 16 integers that are factors of 50154. The greatest factor of 50154 is 50154.
4. How to Find the GCF of 50152 and 50154?
Answer:
Greatest Common Factor of 50152 and 50154 = 2
Step 1: Find the prime factorization of 50152
50152 = 2 x 2 x 2 x 6269
Step 2: Find the prime factorization of 50154
50154 = 2 x 3 x 13 x 643
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 50152 and 50154 is 2